On stability and H control of switched systems with random switching signals

Weiming Xiang, James Lam, Panshuo Li

Research output: Contribution to journalArticlepeer-review

49 Scopus citations


In this paper, the stability analysis and H control problems for a class of continuous-time switched systems with a random switching signal are addressed. The dwell time of the switched systems is characterized with a fixed part and a random part. A new stability criterion, which is equivalent to a necessary and sufficient condition developed previously, is established first, and then it is reformulated in terms of linear matrix inequalities. Based on the stability analysis result, L2-gain performance analysis and H control problems are studied. Several numerical examples are given to illustrate the effectiveness of our results.

Original languageEnglish (US)
Pages (from-to)419-425
Number of pages7
StatePublished - Sep 2018
Externally publishedYes


  • H control
  • Random switching
  • Stabilization
  • Stochastic stability

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering


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